@article{610742d3c8cb40059db783ad4b5c3c8f,

title = "Conformal anomalies and the index theorem",

abstract = "In some two-dimensional field theories, the family index theorem can be used to calculate the conformal anomaly. This is surprising since there is no known underlying topological origin for the conformal anomaly. The index theorem approach provides a different way of understanding Friedan's theorem relating the conformal anomaly to the Virasoro charge. Various aspects of string models are discussed within the context of the index theorem.",

author = "Orlando Alvarez",

note = "Funding Information: Another hint on a topological interpretation of the trace anomaly may be found in the work of Bonora, Cotta-Ramusino and Reina \[4\].T hese authors note that the trace anomaly may be interpreted as a closed one-form on the Weyl group, the group of local conformal transformations. Even though the Weyl group is topologically trivial, there is non-trivial local cohomology. The situation may be contrasted * This work was supported in part by the National Science Foundation under contracts PHY81-18547; and by the Director, Office of High Energy and Nuclear Physics of the US Department of Energy under contracts DE-AC03-76SF00098. i Alfred P. Sloan Foundation Fellow.",

year = "1987",

doi = "10.1016/0550-3213(87)90436-6",

language = "English (US)",

volume = "286",

pages = "175--188",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "C",

}